Uninorms with non-trivial unit element on the bounded lattices

KARAÇAL F., KARACAİR K.

FILOMAT, vol.40, no.2, pp.461-482, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.2298/fil2602461k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.461-482
  • Keywords: Incomparable element, Neutral element e, non-trivial unit, Triangular (co)norm, Uninorm
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we focus on uninorms with non-trivial unit on bounded lattices. Based on the existence a t-norm T acting on [0, e] as well as a t-conorm S acting on [e, 1], we present some construction methods for uninorms on a bounded lattice, where some additional conditions on the bounded lattice and the neutral element e are required. The role of these additional conditions is emphasized. Finally, we present some results and some illustrative examples derived from these methods.